Math.8.G.9 8.G.C.9 CC.2.3.8.A.1 M08.C-G.3.1.1

Common Core Standards Volume
Grade:	8th Grade
Standard:	Math.8.G.9 or 8.G.C.9
Description:	Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
Standard:	CC.2.3.8.A.1
Description:	Apply the concepts of volume of cylinders, cones, and spheres to solve real-world and mathematical problems.
Standard:	M08.C-G.3.1.1
Description:	Apply formulas for the volumes of cones, cylinders, and spheres to solve real-world and mathematical problems.

Volume of Sphere = \frac{4}{3} π r^{3}

where r is the radius

\begin{array}{rcl} Volume & = & \frac{4}{3} π r^{3} \\ 113.04 {cm}^{3} & = & \frac{4}{3} π r^{3} \\ 113.04 {cm}^{3} & = & \frac{4}{3} (3.14) r^{3} \\ 113.04 {cm}^{3} \div 3.14 & = & \frac{4}{3} (3.14) r^{3} \div 3.14 \\ 36 {cm}^{3} & = & \frac{4}{3} r^{3} \\ 36 {cm}^{3} \times \frac{3}{4} & = & \frac{4}{3} r^{3} \times \frac{3}{4} \\ 27 {cm}^{3} & = & r^{3} \\ 3 cm & = & r \end{array}

Common Core Standards